Equilibrium Problems and Applications

Equilibrium Problems and Applications
Author: Gábor Kassay,Vicențiu Rădulescu
Publsiher: Academic Press
Total Pages: 440
Release: 2018-10-09
ISBN 10: 0128110309
ISBN 13: 9780128110300
Language: EN, FR, DE, ES & NL

Equilibrium Problems and Applications Book Review:

Equilibrium Problems and Applications develops a unified variational approach to deal with single-valued, set-valued and quasi-equilibrium problems. The authors promote original results in relationship with classical contributions to the field of equilibrium problems. The content evolved in the general setting of topological vector spaces and it lies at the interplay between pure and applied nonlinear analysis, mathematical economics, and mathematical physics. This abstract approach is based on tools from various fields, including set-valued analysis, variational and hemivariational inequalities, fixed point theory, and optimization. Applications include models from mathematical economics, Nash equilibrium of non-cooperative games, and Browder variational inclusions. The content is self-contained and the book is mainly addressed to researchers in mathematics, economics and mathematical physics as well as to graduate students in applied nonlinear analysis. A rigorous mathematical analysis of Nash equilibrium type problems, which play a central role to describe network traffic models, competition games or problems arising in experimental economics Develops generic models relevant to mathematical economics and quantitative modeling of game theory, aiding economists to understand vital material without having to wade through complex proofs Reveals a number of surprising interactions among various equilibria topics, enabling readers to identify a common and unified approach to analysing problem sets Illustrates the deep features shared by several types of nonlinear problems, encouraging readers to develop further this unifying approach from other viewpoints into economic models in turn

Equilibrium Problems and Variational Models

Equilibrium Problems and Variational Models
Author: P. Daniele,F. Giannessi,A. Maugeri
Publsiher: Springer Science & Business Media
Total Pages: 446
Release: 2013-12-01
ISBN 10: 1461302390
ISBN 13: 9781461302391
Language: EN, FR, DE, ES & NL

Equilibrium Problems and Variational Models Book Review:

The volume, devoted to variational analysis and its applications, collects selected and refereed contributions, which provide an outline of the field. The meeting of the title "Equilibrium Problems and Variational Models", which was held in Erice (Sicily) in the period June 23 - July 2 2000, was the occasion of the presentation of some of these papers; other results are a consequence of a fruitful and constructive atmosphere created during the meeting. New results, which enlarge the field of application of variational analysis, are presented in the book; they deal with the vectorial analysis, time dependent variational analysis, exact penalization, high order deriva tives, geometric aspects, distance functions and log-quadratic proximal methodology. The new theoretical results allow one to improve in a remarkable way the study of significant problems arising from the applied sciences, as continuum model of transportation, unilateral problems, multicriteria spatial price models, network equilibrium problems and many others. As noted in the previous book "Equilibrium Problems: Nonsmooth Optimization and Variational Inequality Models", edited by F. Giannessi, A. Maugeri and P.M. Pardalos, Kluwer Academic Publishers, Vol. 58 (2001), the progress obtained by variational analysis has permitted to han dle problems whose equilibrium conditions are not obtained by the mini mization of a functional. These problems obey a more realistic equilibrium condition expressed by a generalized orthogonality (complementarity) con dition, which enriches our knowledge of the equilibrium behaviour. Also this volume presents important examples of this formulation.

Equilibrium Problems Nonsmooth Optimization and Variational Inequality Models

Equilibrium Problems  Nonsmooth Optimization and Variational Inequality Models
Author: F. Giannessi,A. Maugeri,Panos M. Pardalos
Publsiher: Springer Science & Business Media
Total Pages: 304
Release: 2006-04-11
ISBN 10: 0306480263
ISBN 13: 9780306480263
Language: EN, FR, DE, ES & NL

Equilibrium Problems Nonsmooth Optimization and Variational Inequality Models Book Review:

The aim of the book is to cover the three fundamental aspects of research in equilibrium problems: the statement problem and its formulation using mainly variational methods, its theoretical solution by means of classical and new variational tools, the calculus of solutions and applications in concrete cases. The book shows how many equilibrium problems follow a general law (the so-called user equilibrium condition). Such law allows us to express the problem in terms of variational inequalities. Variational inequalities provide a powerful methodology, by which existence and calculation of the solution can be obtained.

Equilibrium Problems with Equilibrium Constraints

Equilibrium Problems with Equilibrium Constraints
Author: Che-Lin Su
Publsiher: Unknown
Total Pages: 83
Release: 2005
ISBN 10: 1928374650XXX
ISBN 13: OCLC:79420618
Language: EN, FR, DE, ES & NL

Equilibrium Problems with Equilibrium Constraints Book Review:

Solving Equilibrium Problems with Applications to Qualitative Analysis

Solving Equilibrium Problems  with Applications to Qualitative Analysis
Author: Steven S. Zumdahl
Publsiher: Brooks/Cole Publishing Company
Total Pages: 199
Release: 1989
ISBN 10: 9780669167184
ISBN 13: 0669167185
Language: EN, FR, DE, ES & NL

Solving Equilibrium Problems with Applications to Qualitative Analysis Book Review:

Variational Inequalities and Network Equilibrium Problems

Variational Inequalities and Network Equilibrium Problems
Author: F. Giannessi,A. Maugeri
Publsiher: Springer Science & Business Media
Total Pages: 305
Release: 2013-06-29
ISBN 10: 1489913580
ISBN 13: 9781489913586
Language: EN, FR, DE, ES & NL

Variational Inequalities and Network Equilibrium Problems Book Review:

This volume brings forth a set of papers presented at the conference on "Varia tional Inequalities and network equilibrium problems", held in Erice at the "G. Stam pacchia" School of the "E. Majorana" Centre for Scientific Culture in the period 19~25 June 1994. The meeting was conceived to contribute to the exchange between Variational Analysis and equilibrium problems, especially those related to network design. Most of the approaches and viewpoints of these fields are present in the volume, both as concerns the theory and the applications of equilibrium problems to transportation, computer and electric networks, to market behavior, and to bi~level programming. Being convinced of the great importance of equilibrium problems as well as of their complexity, the organizers hope that the merging of points of view coming from differ ent fields will stimulate theoretical research and applications. In this context Variational and Quasi~Variational Inequalities have shown them selves to be very important models for equilibrium problems. As a consequence in the last two decades they have received a lot of attention both as to mathematical inves tigation and applications. The proof that the above mentioned equilibrium problems can be expressed, in terms of Variational or Quasi~Variational Inequalities also in the non~standard and non~symmetric cases, has been a crucial improvement.

Generalized Nash Equilibrium Problems Bilevel Programming and MPEC

Generalized Nash Equilibrium Problems  Bilevel Programming and MPEC
Author: Didier Aussel,C.S. Lalitha
Publsiher: Springer
Total Pages: 124
Release: 2018-04-03
ISBN 10: 981104774X
ISBN 13: 9789811047749
Language: EN, FR, DE, ES & NL

Generalized Nash Equilibrium Problems Bilevel Programming and MPEC Book Review:

The book discusses three classes of problems: the generalized Nash equilibrium problems, the bilevel problems and the mathematical programming with equilibrium constraints (MPEC). These problems interact through their mathematical analysis as well as their applications. The primary aim of the book is to present the modern tool of variational analysis and optimization, which are used to analyze these three classes of problems. All contributing authors are respected academicians, scientists and researchers from around the globe. These contributions are based on the lectures delivered by experts at CIMPA School, held at the University of Delhi, India, from 25 November–6 December 2013, and peer-reviewed by international experts. The book contains five chapters. Chapter 1 deals with nonsmooth, nonconvex bilevel optimization problems whose feasible set is described by using the graph of the solution set mapping of a parametric optimization problem. Chapter 2 describes a constraint qualification to MPECs considered as an application of calmness concept of multifunctions and is used to derive M-stationarity conditions for MPEC. Chapter 3 discusses the first- and second-order optimality conditions derived for a special case of a bilevel optimization problem in which the constraint set of the lower level problem is described as a general compact convex set. Chapter 4 concentrates the results of the modelization and analysis of deregulated electricity markets with a focus on auctions and mechanism design. Chapter 5 focuses on optimization approaches called reflection methods for protein conformation determination within the framework of matrix completion. The last chapter (Chap. 6) deals with the single-valuedness of quasimonotone maps by using the concept of single-directionality with a special focus on the case of the normal operator of lower semi-continuous quasiconvex functions.

Equilibrium Problems with Generalized Monotone Bifunctions and Applications to Variational Inequalities

Equilibrium Problems with Generalized Monotone Bifunctions and Applications to Variational Inequalities
Author: O. Chadli,Z. Chbani,H. Riahi
Publsiher: Unknown
Total Pages: 25
Release: 1996
ISBN 10: 1928374650XXX
ISBN 13: OCLC:633912227
Language: EN, FR, DE, ES & NL

Equilibrium Problems with Generalized Monotone Bifunctions and Applications to Variational Inequalities Book Review:

Nonsmooth Approach to Optimization Problems with Equilibrium Constraints

Nonsmooth Approach to Optimization Problems with Equilibrium Constraints
Author: Jiri Outrata,M. Kocvara,J. Zowe
Publsiher: Springer Science & Business Media
Total Pages: 274
Release: 2013-06-29
ISBN 10: 1475728255
ISBN 13: 9781475728255
Language: EN, FR, DE, ES & NL

Nonsmooth Approach to Optimization Problems with Equilibrium Constraints Book Review:

In the early fifties, applied mathematicians, engineers and economists started to pay c10se attention to the optimization problems in which another (lower-Ievel) optimization problem arises as a side constraint. One of the motivating factors was the concept of the Stackelberg solution in game theory, together with its economic applications. Other problems have been encountered in the seventies in natural sciences and engineering. Many of them are of practical importance and have been extensively studied, mainly from the theoretical point of view. Later, applications to mechanics and network design have lead to an extension of the problem formulation: Constraints in form of variation al inequalities and complementarity problems were also admitted. The term "generalized bi level programming problems" was used at first but later, probably in Harker and Pang, 1988, a different terminology was introduced: Mathematical programs with equilibrium constraints, or simply, MPECs. In this book we adhere to MPEC terminology. A large number of papers deals with MPECs but, to our knowledge, there is only one monograph (Luo et al. , 1997). This monograph concentrates on optimality conditions and numerical methods. Our book is oriented similarly, but we focus on those MPECs which can be treated by the implicit programming approach: the equilibrium constraint locally defines a certain implicit function and allows to convert the problem into a mathematical program with a nonsmooth objective.

Stochastic equilibrium problems with equilibrium constraints Monte Carlo sampling method and applications

Stochastic equilibrium problems with equilibrium constraints  Monte Carlo sampling method and applications
Author: Dali Zhang
Publsiher: Unknown
Total Pages: 184
Release: 2010
ISBN 10: 1928374650XXX
ISBN 13: OCLC:1063450594
Language: EN, FR, DE, ES & NL

Stochastic equilibrium problems with equilibrium constraints Monte Carlo sampling method and applications Book Review:

Convergence Analysis of Proximal like Methods for Variational Inequalities and Fixed Point Problems

Convergence Analysis of Proximal like Methods for Variational Inequalities and Fixed Point Problems
Author: Nils Langenberg
Publsiher: Logos Verlag Berlin GmbH
Total Pages: 256
Release: 2011
ISBN 10: 3832528903
ISBN 13: 9783832528904
Language: EN, FR, DE, ES & NL

Convergence Analysis of Proximal like Methods for Variational Inequalities and Fixed Point Problems Book Review:

Several regularization methods for variational inequalities and fixed point problems are studied. Known convergence results especially require some kind of monotonicity of the problem data as well as, especially for Bregman-function-based algorithms, some additional assumption known as the cutting plane property. Unfortunately, these assumptions may be considered as rather restrictive e.g. in the framework of Nash equilibrium problems. This motivates the development of convergence results under weaker hypotheses which constitute the major subject of the present book. Studied methods include the Bregman-function-based Proximal Point Algorithm (BPPA), Cohen's Auxiliary Problem Principle and an extragradient algorithm.Moreover, this work also contains the first numerical comparison of stopping criteria in the framework of the BPPA. Although such conditions are the subject of theoretical investigations frequently, their numerical effectiveness and a deducible preference were still unknown. This gives rise to the necessity of the presented numerical experiments.

Stochastic Nash Equilibrium Problems Sample Average Approximation and Applications

Stochastic Nash Equilibrium Problems  Sample Average Approximation and Applications
Author: Huifu Xu,Dali Zhang
Publsiher: Unknown
Total Pages: 135
Release: 2008
ISBN 10: 1928374650XXX
ISBN 13: OCLC:1189610915
Language: EN, FR, DE, ES & NL

Stochastic Nash Equilibrium Problems Sample Average Approximation and Applications Book Review:

Strong Stationary Solutions to Equilibrium Problems with Equilibrium Constraints with Applications to an Electricity Spot Market Model

Strong Stationary Solutions to Equilibrium Problems with Equilibrium Constraints with Applications to an Electricity Spot Market Model
Author: René Henrion,Jiří Outrata,Thomas Surowiec
Publsiher: Unknown
Total Pages: 27
Release: 2009
ISBN 10: 1928374650XXX
ISBN 13: OCLC:391679244
Language: EN, FR, DE, ES & NL

Strong Stationary Solutions to Equilibrium Problems with Equilibrium Constraints with Applications to an Electricity Spot Market Model Book Review:

Literaturverz. S. 26 - 27.

Characteristic Functions of Directed Graphs and Applications to Stochastic Equilibrium Problems

Characteristic Functions of Directed Graphs and Applications to Stochastic Equilibrium Problems
Author: Yu Nesterov
Publsiher: Unknown
Total Pages: 22
Release: 2003
ISBN 10: 1928374650XXX
ISBN 13: OCLC:248932267
Language: EN, FR, DE, ES & NL

Characteristic Functions of Directed Graphs and Applications to Stochastic Equilibrium Problems Book Review:

Characteristic Functions of Directed Graphs and Applications to Stochastic Equilibrium Problems

Characteristic Functions of Directed Graphs and Applications to Stochastic Equilibrium Problems
Author: IU. E. Nesterov,Université catholique de Louvain (1970- ). Center for Operations Research and Econometrics
Publsiher: Unknown
Total Pages: 135
Release: 2003
ISBN 10: 1928374650XXX
ISBN 13: OCLC:535411324
Language: EN, FR, DE, ES & NL

Characteristic Functions of Directed Graphs and Applications to Stochastic Equilibrium Problems Book Review:

Operator Theorems with Applications to Distributive Problems and Equilibrium Models

Operator Theorems with Applications to Distributive Problems and Equilibrium Models
Author: Antonio Villar
Publsiher: Springer Science & Business Media
Total Pages: 160
Release: 2012-12-06
ISBN 10: 3642457118
ISBN 13: 9783642457111
Language: EN, FR, DE, ES & NL

Operator Theorems with Applications to Distributive Problems and Equilibrium Models Book Review:

Presentation Many economic problems, as equilibrium models, input-output analysis, rational behaviour, etc. , are usually modelled in terms of operators in Euclidean spaces. This monograph deals with the analysis of a number of formal problems involving this kind of operators (with particular reference to complementarity problems and variational inequalities), and their applications to distributive problems and equilibrium models. Thus the purpose of this work is to provide a set of new results on the solvability of those problems, and a number of economic applications that will illustrate the interest of these results in economics. It is worth stressing from the very begining that our analysis concentrates on the existence (and in some cases optimality) of solutions. That is what is meant here by solvability (in particular, nothing will be said with respect to the uniqueness, stability, sensitivity analysis or computation of solutions). The results on the solvability of operator problems presented here, were actually arrived at as a way of solving specific economic models. Yet we are going to relate this case by somehow reversing the way it happened, that is, starting with the formal results and then presenting a number of economic models which appear as applications of VIII these formal results. The rationale for this approach is twofold. First, it provides a neat track via which to go through the whole work. Then, because I would like to emphasize the interest of complementarity and variational inequalities problems in economic modelling.

Equilibrium Problems and Variational Models

Equilibrium Problems and Variational Models
Author: P. Daniele,Franco Giannessi,A. Maugeri
Publsiher: Springer Science & Business Media
Total Pages: 446
Release: 2003-06-30
ISBN 10: 9781402074707
ISBN 13: 1402074700
Language: EN, FR, DE, ES & NL

Equilibrium Problems and Variational Models Book Review:

The volume, devoted to variational analysis and its applications, collects selected and refereed contributions, which provide an outline of the field. The meeting of the title "Equilibrium Problems and Variational Models", which was held in Erice (Sicily) in the period June 23 - July 2 2000, was the occasion of the presentation of some of these papers; other results are a consequence of a fruitful and constructive atmosphere created during the meeting. New results, which enlarge the field of application of variational analysis, are presented in the book; they deal with the vectorial analysis, time dependent variational analysis, exact penalization, high order deriva tives, geometric aspects, distance functions and log-quadratic proximal methodology. The new theoretical results allow one to improve in a remarkable way the study of significant problems arising from the applied sciences, as continuum model of transportation, unilateral problems, multicriteria spatial price models, network equilibrium problems and many others. As noted in the previous book "Equilibrium Problems: Nonsmooth Optimization and Variational Inequality Models", edited by F. Giannessi, A. Maugeri and P.M. Pardalos, Kluwer Academic Publishers, Vol. 58 (2001), the progress obtained by variational analysis has permitted to han dle problems whose equilibrium conditions are not obtained by the mini mization of a functional. These problems obey a more realistic equilibrium condition expressed by a generalized orthogonality (complementarity) con dition, which enriches our knowledge of the equilibrium behaviour. Also this volume presents important examples of this formulation.

Network Economics

Network Economics
Author: Anna Nagurney
Publsiher: Springer Science & Business Media
Total Pages: 412
Release: 1998-12-31
ISBN 10: 9780792383505
ISBN 13: 0792383508
Language: EN, FR, DE, ES & NL

Network Economics Book Review:

The second and revised edition of Network Economics: A Variational Inequality Approach provides an updated treatment of network economics through the inclusion of new theoretical results and new applications, as well as problems for self-study purposes and/or for use in the classroom. This volume remains true to the first edition in that it provides a unified treatment of finite-dimensional variational inequalities, algorithms, and applications. Physical networks are pervasive in today's society in the form of transportation networks, telecommunication networks, energy networks, and financial networks, whereas mathematical networks provide a mechanism for studying a plethora of economic equilibrium problems through a common graphic structure. Network Economics establishes the connections among economic equilibrium problems through their network structure and demonstrates how the structure can then be used to address policy interventions, as well as to construct efficient numerical schemes for the computation of equilibria. The network framework provides not only a mechanism for the graphic representation of economic problems and a means for visualizing their similarities and differences, but, in addition, a novel theoretical approach. Problems treated include: congested transportation systems, oligopolistic market equilibrium problems, problems of human migration, and general financial and economic equilibrium problems. New applications covered in this second edition include environmental networks and knowledge networks.

Optimization and Optimal Control

Optimization and Optimal Control
Author: Altannar Chinchuluun,Panos M. Pardalos,Rentsen Enkhbat,Ider Tseveendorj
Publsiher: Springer Science & Business Media
Total Pages: 510
Release: 2010-08-05
ISBN 10: 0387894969
ISBN 13: 9780387894966
Language: EN, FR, DE, ES & NL

Optimization and Optimal Control Book Review:

Optimization and optimal control are the main tools in decision making. Because of their numerous applications in various disciplines, research in these areas is accelerating at a rapid pace. “Optimization and Optimal Control: Theory and Applications” brings together the latest developments in these areas of research as well as presents applications of these results to a wide range of real-world problems. This volume can serve as a useful resource for researchers, practitioners, and advanced graduate students of mathematics and engineering working in research areas where results in optimization and optimal control can be applied.

Working Guide to Vapor Liquid Phase Equilibria Calculations

Working Guide to Vapor Liquid Phase Equilibria Calculations
Author: Tarek Ahmed
Publsiher: Gulf Professional Publishing
Total Pages: 300
Release: 2009-08-27
ISBN 10: 9781856179027
ISBN 13: 1856179028
Language: EN, FR, DE, ES & NL

Working Guide to Vapor Liquid Phase Equilibria Calculations Book Review:

Working Guide to Vapor-Liquid Phase Equilibria Calculations offers a practical guide for calculations of vapor-phase equilibria. The book begins by introducing basic concepts such as vapor pressure, vapor pressure charts, equilibrium ratios, and flash calculations. It then presents methods for predicting the equilibrium ratios of hydrocarbon mixtures: Wilson's correlation, Standing's correlation, convergence pressure method, and Whitson and Torp correlation. The book describes techniques to determine equilibrium ratios of the plus fraction, including Campbell's method, Winn's method, and Katz's method. The remaining chapters cover the solution of phase equilibrium problems in reservoir and process engineering; developments in the field of empirical cubic equations of state (EOS) and their applications in petroleum engineering; and the splitting of the plus fraction for EOS calculations. Includes explanations of formulas Step by step calculations Provides examples and solutions